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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

2 votes
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Bounds on the positive roots of a bivariate polynomial

To bound the roots of a bi-variate system of polynomial equations you can use resultants. As a simple example, look at the following set of equations: $$ x^2+y^2-4=0 \\ xy-1=0 $$ which correspond to …
Iddo Hanniel's user avatar
1 vote

real analytic function with given shape

This is a very nice question - an innocent-looking problem, easily described - basically construct a horizontal s-shaped analytical function under some well-defined conditions. But I must admit I had …
Iddo Hanniel's user avatar